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Finding the Fourth Proportional to 152.60, 227.80 and 135.44

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Solution

The fourth proportional to 152.60, 227.80 and 135.44 is: 202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.60 : 227.80 = 135.44 : x
  2. Step 2: Convert to fraction form
    152.60/227.80 = 135.44/x
  3. Step 3: Cross multiply
    152.60x = 227.80 × 135.44
  4. Step 4: Simplify right side
    152.60x = 30,853.23
  5. Step 5: Solve for x
    x = 30,853.23/152.60
  6. Step 6: Final answer
    x = 202.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.